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Finding the Fourth Proportional to 150,646.32, 207,891.92 and 83,578.32

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Solution

The fourth proportional to 150,646.32, 207,891.92 and 83,578.32 is: 115,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,646.32 : 207,891.92 = 83,578.32 : x
  2. Step 2: Convert to fraction form
    150,646.32/207,891.92 = 83,578.32/x
  3. Step 3: Cross multiply
    150,646.32x = 207,891.92 × 83,578.32
  4. Step 4: Simplify right side
    150,646.32x = 17,375,256,997.28
  5. Step 5: Solve for x
    x = 17,375,256,997.28/150,646.32
  6. Step 6: Final answer
    x = 115,338.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.